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Finding the Fourth Proportional to 20,231.84, 30,361.50 and 7,084.16

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Solution

The fourth proportional to 20,231.84, 30,361.50 and 7,084.16 is: 10,631.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,231.84 : 30,361.50 = 7,084.16 : x
  2. Step 2: Convert to fraction form
    20,231.84/30,361.50 = 7,084.16/x
  3. Step 3: Cross multiply
    20,231.84x = 30,361.50 × 7,084.16
  4. Step 4: Simplify right side
    20,231.84x = 215,085,723.84
  5. Step 5: Solve for x
    x = 215,085,723.84/20,231.84
  6. Step 6: Final answer
    x = 10,631.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.